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Finding the Fourth Proportional to 578.69, 866.21 and 396.44

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Solution

The fourth proportional to 578.69, 866.21 and 396.44 is: 593.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.69 : 866.21 = 396.44 : x
  2. Step 2: Convert to fraction form
    578.69/866.21 = 396.44/x
  3. Step 3: Cross multiply
    578.69x = 866.21 × 396.44
  4. Step 4: Simplify right side
    578.69x = 343,393.98
  5. Step 5: Solve for x
    x = 343,393.98/578.69
  6. Step 6: Final answer
    x = 593.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.